We determine the 2-adic complexity of the Ding-Helleseth-Martinsen (DHM) binary sequences by using cyclotomic numbers of order four, "Gauss periods" and "quadratic Gauss sum" on finite field Fq and valued in Z2N−1 where q≡5(mod8) is a prime number and N=2q is the period of the DHM sequences.
Cite
@article{arxiv.1904.05499,
title = {On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences},
author = {Lulu Zhang and Jun Zhang and Minghui Yang and Keqin Feng},
journal= {arXiv preprint arXiv:1904.05499},
year = {2019}
}